use std::collections::VecDeque; fn main() { let mut pq = String::new(); std::io::stdin().read_line(&mut pq).ok(); let pq: Vec = pq.trim().split_whitespace().map(|s| s.parse().unwrap()).collect(); let p0 = pq[0] / 100.; let q = pq[1] / 100.; let mut result = 1. / 3.; let mut deque = VecDeque::new(); deque.push_back((1. / 3., 1, p0)); while let Some((prob, pattern, prevp)) = deque.pop_front() { if prob < 1e-12 { continue; } let p = match pattern { 1 => { p0 }, 2 => { (prevp + q).max(0.).min(1.) }, 3 => { (prevp - q).max(0.).min(1.) }, _ => { unreachable!(); } }; let unused = prob * (1. - p) / 3.; let used = prob * p / 2.; result += unused; result += used; deque.push_back((unused, 2, p)); deque.push_back((used, 3, p)); } println!("{}", result); }